Susceptible-infected-recovered-susceptible processes competing on simplicial complexes DOI Creative Commons

Lihui Zhao,

Haiying Wang, Huijie Yang

et al.

Physical review. E, Journal Year: 2024, Volume and Issue: 110(6)

Published: Dec. 9, 2024

Contagions do not exist in isolation but the presence of other propagating quantities, with which they may compete. Furthermore, higher-order interactions (interactions involving more than two nodes) are widely represented real-world systems. We propose a stochastic model for susceptible-infected-recovered-susceptible (SIRS) processes competing simplicial complex that accommodates interactions. also deterministic microscopic Markov chain (MMC) and mean-field (MF) forms this model, we analyze to reveal conditions persistence each infection. verify our analysis via numerical simulations, unveil critical mass effects, discontinuous phase transitions, bistability. The exhibits eight distinct classes dependence final state on initial conditions. All these can be approximately reproduced MMC, only seven seen under MF. class observed MMC approximated missing from MF, involves three steady states single set parameter values. However, absence MF an additional class, or corresponding infinite spectrum states, ratio infection levels remains at its level. Both models exhibit sustained oscillations one contagion disappears while tends limit cycle.

Language: Английский

Correlation between transition probability and network structure in epidemic model DOI
Chao-Ran Cai,

Dong-Qian Cai

Chaos Solitons & Fractals, Journal Year: 2025, Volume and Issue: 194, P. 116142 - 116142

Published: Feb. 22, 2025

Language: Английский

Citations

0
Coexistence of positive and negative information in information-epidemic dynamics on multiplex networks DOI
Liying Liu, Chao-Ran Cai,

S. Zhang

et al.

Physica A Statistical Mechanics and its Applications, Journal Year: 2025, Volume and Issue: unknown, P. 130534 - 130534

Published: March 1, 2025

Language: Английский

Citations

0
Susceptible-infected-recovered-susceptible processes competing on simplicial complexes DOI Creative Commons

Lihui Zhao,

Haiying Wang, Huijie Yang

et al.

Physical review. E, Journal Year: 2024, Volume and Issue: 110(6)

Published: Dec. 9, 2024

Contagions do not exist in isolation but the presence of other propagating quantities, with which they may compete. Furthermore, higher-order interactions (interactions involving more than two nodes) are widely represented real-world systems. We propose a stochastic model for susceptible-infected-recovered-susceptible (SIRS) processes competing simplicial complex that accommodates interactions. also deterministic microscopic Markov chain (MMC) and mean-field (MF) forms this model, we analyze to reveal conditions persistence each infection. verify our analysis via numerical simulations, unveil critical mass effects, discontinuous phase transitions, bistability. The exhibits eight distinct classes dependence final state on initial conditions. All these can be approximately reproduced MMC, only seven seen under MF. class observed MMC approximated missing from MF, involves three steady states single set parameter values. However, absence MF an additional class, or corresponding infinite spectrum states, ratio infection levels remains at its level. Both models exhibit sustained oscillations one contagion disappears while tends limit cycle.

Language: Английский

Citations

0